Geometry of the spectrum : 1993 joint summer research conference on spectral geometry, July 17-23, 1993, University of Washington, Seattle / Robert Brooks, Carolyn Gordon, Peter Perry, editors.

Por: AMS-IMS-SIAM Joint Summer Research Conference on Spectral Geometry (1993 : University of Washington, Seattle)Colaborador(es): Brooks, Robert, 1952- [edt] | Gordon, Carolyn, 1950- [edt] | Perry, Peter A [edt]Series Contemporary mathematics (American Mathematical Society): v. 173.Editor: Providence, R.I. : American Mathematical Society, c1994Descripción: ix, 299 p. : il. ; 26 cmISBN: 0821851853Tema(s): Spectral geometry -- CongressesOtra clasificación: 58-06 (58Jxx)
Contenidos:
Edoh Y. Amiran, "An inverse problem and spectral invariants for billiards", 1–13Jeff Angel, Steve Poulos, Audrey Terras, Cindy Trimble and Elinor Velasquez, "Spherical functions and transforms on finite upper half planes: eigenvalues of the combinatorial Laplacian, uncertainty, traces", 15–70Robert Brooks, "Lp spectral geometry", 71–87Robert Brooks and Paul Glezen, "An Lp spectral bootstrap theorem", 89–97Xianzhe Dai and Guofang Wei, "Finite part of spectrum and isospectrality", 99–107Jozef Dodziuk, "Nonexistence of universal upper bounds for the first positive eigenvalue of the Laplace-Beltrami operator", 109–114Koji Fujiwara, "Convergence of the eigenvalues of Laplacians in a class of finite graphs", 115–120Carolyn S. Gordon, "Isospectral closed Riemannian manifolds which are not locally isometric. II", 121–131Ruth Gornet, "The length spectrum and representation theory on two- and three-step nilpotent Lie groups", 133–155Eugene Gutkin, "A few remarks on the billiard ball problem", 157–165Lizhen Ji and Steven Zelditch, "Hyperbolic cusp forms and spectral simplicity on compact hyperbolic surfaces", 167–179Yaroslav Kurylev, "Inverse boundary problems on Riemannian manifolds", 181–192Leonid Malozemov, "Spectral theory of the differential Laplacian on the modified Koch curve", 193–224Yiping Mao, "Conjugate geodesic flows in negatively curved manifolds", 225–229Hubert Pesce, "Variétés isospectrales et représentations de groupes", 231–240Yiannis N. Petridis, "On differences of eigenvalues for flat tori and hyperbolic surfaces", 241–256Gregory Quenell, "Combinatorics of free product graphs", 257–281Toshikazu Sunada, "A discrete analogue of periodic magnetic Schrödinger operators", 283–299.
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Incluye referencias bibliográficas.

Edoh Y. Amiran, "An inverse problem and spectral invariants for billiards", 1–13 -- Jeff Angel, Steve Poulos, Audrey Terras, Cindy Trimble and Elinor Velasquez, "Spherical functions and transforms on finite upper half planes: eigenvalues of the combinatorial Laplacian, uncertainty, traces", 15–70 -- Robert Brooks, "Lp spectral geometry", 71–87 -- Robert Brooks and Paul Glezen, "An Lp spectral bootstrap theorem", 89–97 -- Xianzhe Dai and Guofang Wei, "Finite part of spectrum and isospectrality", 99–107 -- Jozef Dodziuk, "Nonexistence of universal upper bounds for the first positive eigenvalue of the Laplace-Beltrami operator", 109–114 -- Koji Fujiwara, "Convergence of the eigenvalues of Laplacians in a class of finite graphs", 115–120 -- Carolyn S. Gordon, "Isospectral closed Riemannian manifolds which are not locally isometric. II", 121–131 -- Ruth Gornet, "The length spectrum and representation theory on two- and three-step nilpotent Lie groups", 133–155 -- Eugene Gutkin, "A few remarks on the billiard ball problem", 157–165 -- Lizhen Ji and Steven Zelditch, "Hyperbolic cusp forms and spectral simplicity on compact hyperbolic surfaces", 167–179 -- Yaroslav Kurylev, "Inverse boundary problems on Riemannian manifolds", 181–192 -- Leonid Malozemov, "Spectral theory of the differential Laplacian on the modified Koch curve", 193–224 -- Yiping Mao, "Conjugate geodesic flows in negatively curved manifolds", 225–229 -- Hubert Pesce, "Variétés isospectrales et représentations de groupes", 231–240 -- Yiannis N. Petridis, "On differences of eigenvalues for flat tori and hyperbolic surfaces", 241–256 -- Gregory Quenell, "Combinatorics of free product graphs", 257–281 -- Toshikazu Sunada, "A discrete analogue of periodic magnetic Schrödinger operators", 283–299.

MR, 95d:58001

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